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What is the solution to the differential equation dy/dx = 3x^2?
Practice Questions
Q1
What is the solution to the differential equation dy/dx = 3x^2?
x^3 + C
3x^3 + C
x^2 + C
3x^2 + C
Questions & Step-by-Step Solutions
What is the solution to the differential equation dy/dx = 3x^2?
Steps
Concepts
Step 1: Start with the differential equation dy/dx = 3x^2.
Step 2: To find y, we need to integrate both sides of the equation with respect to x.
Step 3: Integrate the right side: ∫3x^2 dx.
Step 4: The integral of 3x^2 is x^3 + C, where C is the constant of integration.
Step 5: Therefore, the solution to the differential equation is y = x^3 + C.
No concepts available.
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